Inverse problems for deformation rings

DOI10.1090/S0002-9947-2013-05848-5zbMath1281.20009arXiv1012.1290MaRDI QIDQ2849043

Bart de Smit, Frauke M. Bleher, Ted Chinburg

Publication date: 16 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1290

zbMATH Keywords

complete intersectionsinverse problemsuniversal deformation rings

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Galois representations (11F80) Representations of associative Artinian rings (16G10) Limits, profinite groups (20E18) Local rings and semilocal rings (13H99)

Related Items (8)

Large universal deformation rings ⋮ Brauer’s generalized decomposition numbers and universal deformation rings ⋮ Universal deformation rings and fusion. ⋮ Universal deformation rings of strings modules over a certain symmetric special biserial algebra. ⋮ The inverse deformation problem ⋮ Universal deformation rings of modules for algebras of dihedral type of polynomial growth ⋮ The inverse problem for universal deformation rings and the special linear group ⋮ Universal deformation rings of string modules over certain class of self-injective special biserial algebras

Cites Work

• A universal deformation ring which is not a complete intersection ring.
• Problems from the Workshop on Automorphisms of Curves
• Universal deformation rings and cyclic blocks
• Modular elliptic curves and Fermat's Last Theorem
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Functors of Artin Rings
• Universal deformation rings need not be complete intersections
• Universal deformation rings need not be complete intersections
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